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Finding the Fourth Proportional to 2,683.54, 3,702.78 and 1,504.54

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Solution

The fourth proportional to 2,683.54, 3,702.78 and 1,504.54 is: 2,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.54 : 3,702.78 = 1,504.54 : x
  2. Step 2: Convert to fraction form
    2,683.54/3,702.78 = 1,504.54/x
  3. Step 3: Cross multiply
    2,683.54x = 3,702.78 × 1,504.54
  4. Step 4: Simplify right side
    2,683.54x = 5,570,980.62
  5. Step 5: Solve for x
    x = 5,570,980.62/2,683.54
  6. Step 6: Final answer
    x = 2,075.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.